A Cartridge becomes unique by the selection of materials used for the assembly.
In the material selection there many be a common part used as a Cantilever>Stylus, that is sourced from a dependable Producer in the Supply Chain for the procurement of the product.
As I stated the choices when using the Third Party 'retiper' service are not limited to only Two Brands Products, there are further options to be considered.
It is not for me to say whether considering such a option for Cartridge is correct/incorrect.
My own experience has been from choosing a not so commonly offered material such as Beryllium, where reliance of a assessment of the new parts in use, has been drawn from a personal subjective evaluation and a groups subjective evaluation, is that this method has been very well received and there is a noticeable improvement over a Original Spec' Cartridge. In my case the veer away from maintaining original parts has been very rewarding.
The OP's statement below appears to suggest that when a Third Party 'retiper' service is used, the options on choices are limited to the the use of Two Brands Products only , as seen in the underscored section below.
My experience and point being made is that this is not the case when discussing options on a Service from a Third Party ' retiper', the options are not going to be limited to this. Albeit that it does require the need to commence in a dialogue with a technician to discover the options that can be offered.
The second most important concern for myself, is whether a Service has the Experience and Skill Set to produce the optimized product as part of the process being undertaken.
My experience as a 'layman only' of investigating a variety of Cartridge Rebuilds, if the information viewed is bona fide, has shown Cartridges after short usage and needing to undergo a repair, that are in a condition that does not suggest Quality Control was a paramount concern when the Cartridge was produced. These observations do not endear one, to the idea of entrusting manufacturers that have a good proportion of the Market Place.
My money goes in the direction where I feel it is to be best served.
By the so called ''retips'' the assumption
is also ''original'' versus ''not original parts''. This means that
every manufacturer as well ''retiper'' uses his own styli and or
cantilevers. The fact however is that they all buy those ''parts''
by either by Namiki or Ogura. So, logicaly speaking, the origin
of those ''parts'' are either Namiki or Ogura.